Positive solutions of a diffusive prey-predator model in a heterogeneous environment
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Publication:2473250
DOI10.1016/j.mcm.2007.02.001zbMath1136.35462OpenAlexW2003914371WikidataQ115568942 ScholiaQ115568942MaRDI QIDQ2473250
Publication date: 26 February 2008
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2007.02.001
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
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Cites Work
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- Limiting behaviour for a prey-predator model with diffusion and crowding effects
- \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
- Existence and uniqueness of coexistence states for a predator-prey model with diffusion
- Nonlinear eigenvalues and global bifurcation application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species
- Realization of prescribed patterns in the competition model.
- Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
- Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour
- Bounded components of positive solutions of abstract fixed point equations: Mushrooms, loops and isolas
- Diffusion, self-diffusion and cross-diffusion
- Positive solutions with prescribed patterns in some simple semilinear equations
- Spatial heterogeneity of resources versus Lotka-Volterra dynamics
- A diffusive predator-prey model in heterogeneous environment
- Spatial patterns for population models in a heterogeneous environment
- Spatial patterns of a prey-predator model in a degenerate environment
- On the effects of migration and spatial heterogeneity on single and multiple species
- Qualitative behaviour of positive solutions of a predator—prey model: effects of saturation
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
- Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
- Some uniqueness and exact multiplicity results for a predator-prey model
- Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
- Invertibility of linear noncooperative elliptic systems
- Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
- Effects of Certain Degeneracies in the Predator-Prey Model
- Coexistence States and Global Attractivity for Some Convective Diffusive Competing Species Models